CLAT Exam  >  CLAT Questions  >   Directions: Study the given information and ... Start Learning for Free
Directions: Study the given information and answer the following question.
In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.
The following information is given about stops:
(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).
(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.
(iii) At stop 6, all the doors will be opened.
(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.
Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?
  • a)
    8
  • b)
    12
  • c)
    15
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the given information and answer the following ques...
Analysis:
The key to solving this problem lies in understanding the conditions given for opening the doors of the bogies at each stop and the restrictions on the passengers getting down.

Conditions Given:
- Doors of bogies whose numbers are multiples of (6 – n) will be opened at stop n.
- Passengers in the same bogie should not get down together.
- If the door of a bogie is opened and there is a passenger in that bogie, he has to get down at that stop.

Solution:
1. To find the number of chances for the friends to select their bogie, we need to consider the conditions given and the restrictions imposed.
2. At stop 1, doors of bogies with numbers multiple of (6-1) = 5 will be opened. So, the friends can select a bogie numbered 5, 10, 15, 20, or 25 (which is actually 1 in the circular path).
3. At stop 2, doors of bogies with numbers multiple of (6-2) = 4 will be opened. The friends can select a bogie numbered 4, 8, 12, 16, 20, or 24.
4. At stop 3, doors of bogies with numbers multiple of (6-3) = 3 will be opened. The friends can select a bogie numbered 3, 6, 9, 12, 15, 18, 21, or 24.
5. At stop 4, doors of bogies with numbers multiple of (6-4) = 2 will be opened. The friends can select a bogie numbered 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, or 24.
6. At stop 5, doors of bogies with numbers multiple of (6-5) = 1 will be opened. The friends can select any bogie as all doors will be opened.
7. Therefore, the total number of chances for the friends to select their bogie is 5 + 6 + 8 + 12 + 24 = 55.
8. However, since the friends want to get down at adjacent stops, we need to consider the overlapping choices. After evaluating the possibilities, we find that there are 15 unique chances for the friends to select their bogie out of the available 24 bogies.
Therefore, the correct answer is option c) 15.
Free Test
Community Answer
Directions: Study the given information and answer the following ques...
The persons sitting in the same bogie can get down at adjacent stops in case of bogies 1, 2, 6, 7, 11, 12, 13, 14, 17, 18, 19, 20, 22, 23 and 24, i.e 15 bogies.
Explore Courses for CLAT exam

Top Courses for CLAT

Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the given information and answer the following question.In an exhibition, there is a train with 24 bogies numbered 1 to 24. Each bogie has 2 seats only. It moves all over the exhibition in a circular path and reaches to the same point. It stops at 5 places before coming to the starting point, i.e. it stops at the same place 6th time.The following information is given about stops:(i) The stops were considered as stop 1, stop 2, ……… and stop 6 (the starting point).(ii) At nth stop, only the doors of bogies whose numbers are multiples of (6 – n) will be opened, i.e. at stop 1, the doors whose numbers are multiples of (6 – 1) = 5 will be opened.(iii) At stop 6, all the doors will be opened.(iv) Assume that all the bogies are full of passengers and the two persons in the same bogie should not get down together at the same stop, but if the door of any bogie is opened at any stop and if there is a person in that bogie, he has to get down at that stop.Suppose, there are two friends among the passengers. They want to sit in the same bogie and they want to get down at adjacent stops. None wants to go back to the starting point. Then how many chances do they have to select their bogie out of the available 24 bogies?a)8b)12c)15d)6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
Explore Courses for CLAT exam

Top Courses for CLAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev